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Comparing Equations of Lines

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1.For the pairs of lines defined by the following equations indicate with an "I" if they are identical, a "P" if they are distinct but parallel, an "N" (for "normal") if they are perpendicular, and a "G" (for "general") if they are neither parallel nor perpendicular.

3x + 4y + 5 = 0 and y = - 3
4 x - 54 .
x = 2 and y = p.
y = x + 1 and 3x + 5y + 7 = 0.
y = - 3
4 x and 3x + 4y + 7 = 0.

2. For the pairs of lines defined by the following equations indicate with an "I" if they are identical, a "P" if they are distinct but parallel, an "N" (for "normal") if they are perpendicular, and a "G" (for "general") if they are neither parallel nor perpendicular.
3x + 4y + 5 = 0 and 6x + 8y + 10 = 0.
3x + 4y + 5 = 0 and 3x + 4y + 7 = 0.
3x + 4y + 5 = 0 and 3x + 5y + 7 = 0.
-4x + 3y + 5 = 0 and 3x + 4y + 7 = 0.

3. For the lines defined by the following equations indicate with a "V" if they are vertical, an "H" if they are horizontal, and an "S" (for slanted) if they are neither vertical nor horizontal.
3x + 4y + 5 = 0
4y + 5 = 0
3x + 5 = 0
x = 1
y = 1
y = x

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Solution Summary

Line equations are compared. The solution is detailed and well presented. Parallel and perpendicular lines are determined.

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